I am beginning to see that the minor II V I morphs in many ways. If the V chord has a major third this turns it into a more dominant sound and introduces the major 7th of the key. This could imply either melodic or harmonic minor, but not natural minor.
Adding a raised third and a raised fifth gives the minor third of the key, whereas a 'standard' perfect fifth would give a second of the key. So, the raised fifth sounds the tonality (m3) of a minor key.
But what happens with the one chord? If it is a 'natural' minor key then this would be spelt as a flat third and flat seventh. On the route toward this statement of the one chord the flat seventh has been contradicted (by the major third of 5#5).